Wavelength of carrier frequency radio signal

AI Thread Summary
The discussion centers on calculating the wavelength of a radio signal with a carrier frequency of 94.7 Megahertz. The correct formula used is velocity equals wavelength times frequency, leading to the calculation of wavelength. After correcting a misunderstanding about frequency units, the wavelength is determined to be approximately 3.2 meters. The conversation emphasizes the importance of using the correct units in calculations. Overall, the final answer for the wavelength of the carrier frequency radio signal is confirmed as 3.2 meters.
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Homework Statement


Your favorite radio FM radio station broadcasts at a carrier frequency of 94.7 Megahertz.

What is the wavelength of the carrier frequency radio signal?


Homework Equations



velocity=wavelength(frequency)

The Attempt at a Solution



94.7x10^-6(w)= 3x10^8
w= 3.2 wavelength


I think this is right just not 100% sure
 
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Are you sure 94.7 Megahertz = 94.7 x 10-6 Hertz?

Apart from that typo it looks like you've done it ok. Remember your units though.
 
Last edited:


o ok i see what i did wrong its 94.7x10^6 hertz but the answer comes out to 3.167898627E12, it just seems weird. would that be right?
and what would the unit be?
 


You had the answer correct in the first place despite the typo. What is the SI unit of length?
 


o ok so it would be 3.2 meters?
 


stickplot said:
o ok so it would be 3.2 meters?

Yes :smile:
 


o ok. thanks for your time :)
 

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